Number field data - 9.1.30626693.1

Formats: - HTML - YAML - JSON - 2024-05-20T07:09:56.207301

• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 1, 2, 0, -1, -2, -1, 0, 0, 1], 'conductor': 0, 'degree': 9, 'dirichlet_group': [], 'disc_abs': 30626693, 'disc_rad': 30626693, 'disc_sign': 1, 'frobs': [[2, [[5, 1], [4, 1]]], [3, [[5, 1], [4, 1]]], [5, [[6, 1], [3, 1]]], [7, [[6, 1], [3, 1]]], [11, [[9, 1]]], [13, [[5, 1], [4, 1]]], [17, [[6, 1], [3, 1]]], [19, [[9, 1]]], [23, [[9, 1]]], [29, [[6, 1], [2, 1], [1, 1]]], [31, [[5, 1], [2, 1], [1, 2]]], [37, [[5, 1], [2, 1], [1, 2]]], [41, [[3, 2], [1, 3]]], [43, [[8, 1], [1, 1]]], [47, [[7, 1], [1, 2]]], [53, [[5, 1], [2, 2]]], [59, [[9, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [181440], 'galois_label': '9T34', 'galt': 34, 'grd': 5534.138867068661, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '9.1.30626693.1', 'local_algs': ['m30626693.1.1.0', 'm30626693.2.1.1', 'm30626693.1.3.0', 'm30626693.1.3.0'], 'monogenic': 1, 'num_ram': 1, 'r2': 4, 'ramps': [30626693], 'rd': 6.78873569358, 'regulator': {'__RealLiteral__': 0, 'data': '0.697791262451', 'prec': 47}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{8} - a^{5} - 2 a^{4} - a^{3} + 2 a + 1 \\)', '\\( a^{6} - a^{2} - a \\)', '\\( a^{6} + a^{5} - 2 a^{2} - 2 a - 1 \\)', '\\( a^{7} - 2 a^{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8']}